{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from pykalman import KalmanFilter\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import poly1d\n",
    "import tushare as ts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0119842798289\n"
     ]
    }
   ],
   "source": [
    "#calculate the co-intergation\n",
    "from statsmodels.tsa.stattools import coint\n",
    "Stock = ts.get_k_data('000001', start='2015-01-01', end='2016-12-31', ktype='D',autype='qfq')\n",
    "Stock.index = pd.to_datetime(Stock['date'],format='%Y-%m-%d')\n",
    "HS300 =ts.get_k_data('hs300', start='2015-01-01', end='2016-12-31', ktype='D',autype='qfq')\n",
    "HS300.index = pd.to_datetime(HS300['date'],format='%Y-%m-%d')\n",
    "\n",
    "data = pd.concat([HS300.close, Stock.close], keys=['HS300', 'Stock'], axis=1)\n",
    "\n",
    "_, pvalue, _ = coint(data.HS300, data.Stock)\n",
    "print pvalue"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "date\n",
      "2016-12-26    9.284338\n",
      "2016-12-27    9.264901\n",
      "2016-12-28    9.245410\n",
      "2016-12-29    9.229675\n",
      "2016-12-30    9.217340\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "# Construct a Kalman filter\n",
    "kf = KalmanFilter(transition_matrices = [1],\n",
    "observation_matrices = [1],\n",
    "initial_state_mean = 6,\n",
    "initial_state_covariance = 1,\n",
    "observation_covariance=1,\n",
    "transition_covariance=.01)\n",
    "\n",
    "# Use the observed values of the price to get a rolling mean\n",
    "state_means, _ = kf.filter(Stock.close.values)\n",
    "state_means = pd.Series(state_means.flatten(), index=Stock.index)\n",
    "\n",
    "print state_means.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\ProgramData\\Anaconda2\\lib\\site-packages\\ipykernel\\__main__.py:1: FutureWarning: pd.rolling_mean is deprecated for Series and will be removed in a future version, replace with \n",
      "\tSeries.rolling(window=30,center=False).mean()\n",
      "  if __name__ == '__main__':\n",
      "D:\\ProgramData\\Anaconda2\\lib\\site-packages\\ipykernel\\__main__.py:2: FutureWarning: pd.rolling_mean is deprecated for Series and will be removed in a future version, replace with \n",
      "\tSeries.rolling(window=60,center=False).mean()\n",
      "  from ipykernel import kernelapp as app\n",
      "D:\\ProgramData\\Anaconda2\\lib\\site-packages\\ipykernel\\__main__.py:3: FutureWarning: pd.rolling_mean is deprecated for Series and will be removed in a future version, replace with \n",
      "\tSeries.rolling(window=90,center=False).mean()\n",
      "  app.launch_new_instance()\n"
     ]
    },
    {
     "data": {
      "image/png": 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NSpkWEdFhXIWzm+ID8NIA2P6frm23SSkCRecIDQ1l1apVPPPMMyxfvpynnnqKWbNmMXLk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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2184a4e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean30 = pd.rolling_mean(Stock.close, 30)\n",
    "mean60 = pd.rolling_mean(Stock.close, 60)\n",
    "mean90 = pd.rolling_mean(Stock.close, 90)\n",
    "\n",
    "plt.plot(state_means[:])\n",
    "plt.plot(Stock.close[:])\n",
    "plt.plot(mean30[:])\n",
    "plt.plot(mean60[:])\n",
    "plt.plot(mean90[:])\n",
    "plt.title('Kalman filter estimate of average')\n",
    "plt.legend(['Kalman Estimate', 'X', '30dayMoving Average', '60dayMoving Average','90dayMoving Average'])\n",
    "plt.xlabel('Day')\n",
    "plt.ylabel('Price')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Load index data\n",
    "\n",
    "x = Stock.close\n",
    "y = HS300.close"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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YSnmVTFvgXuBqEVnjvm7EpYyuFZGtuPZnRhwXEJFdwJvAA27X6/ruWwOAV0RkrbvNZwrr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\nzrmM4UnJOedcxvh/Y9fgzOfKJqgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x19513668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cm = plt.get_cmap('jet')\n",
    "colors = np.linspace(0.1, 1, len(x))\n",
    "sc = plt.scatter(x, y, s=30, c=colors, cmap=cm, edgecolor='k', alpha=0.7)\n",
    "cb = plt.colorbar(sc)\n",
    "cb.ax.set_yticklabels([str(p.date()) for p in x[::len(x)//9].index])\n",
    "plt.xlabel('Stock')\n",
    "plt.ylabel('HS300')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "delta = 1e3\n",
    "trans_cov = delta / (1-delta)* np.eye(2) # How much random walk wiggles\n",
    "# print 'trans_cov', trans_cov\n",
    "\n",
    "obs_mat = np.expand_dims(np.vstack([[x], [np.ones(len(x))]]).T, axis=1)\n",
    "# print 'obs_mat:', obs_mat\n",
    "\n",
    "kf = KalmanFilter(n_dim_obs=1, n_dim_state=2, # y is 1dimensional,(alpha, beta) is 2dimensional\n",
    "                  initial_state_mean=[0,0],\n",
    "                  initial_state_covariance=np.ones((2, 2)),\n",
    "                  transition_matrices=np.eye(2),\n",
    "                  observation_matrices=obs_mat,\n",
    "                  observation_covariance=2,\n",
    "                  transition_covariance=trans_cov)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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8MmA0BmhP7vdcOolfXjwR0BRoM3qpptJl63qRZzC5IbNJdNo9Qb8hZsRH43B7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\nL0mCEkII4ZckQQkhhPBL/w+tTuUCVnjtKwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x17e2eb38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Use the observations y to get running estimates and errors for the state parameters\n",
    "state_means, state_covs = kf.filter(y.values)\n",
    "\n",
    "# print state_means\n",
    "\n",
    "_, axarr = plt.subplots(2, sharex=True)\n",
    "axarr[0].plot(x.index, state_means[:,0], label='slope')\n",
    "axarr[0].legend()\n",
    "axarr[1].plot(x.index, state_means[:,1], label='intercept')\n",
    "axarr[1].legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Qa53P5GN3Yl89H+OOXrK/28vY2En4W0oI7htluiOL4mzDKFPUrTmTLT+9mUzH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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2b9a1390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot data points using colormap\n",
    "sc = plt.scatter(x, y, s=30, c=colors, cmap=cm, edgecolor='k', alpha=0.7)\n",
    "cb = plt.colorbar(sc)\n",
    "cb.ax.set_yticklabels([str(p.date()) for p in x[::len(x)//9].index])\n",
    "\n",
    "# Plot every fifth line\n",
    "step = 5\n",
    "xi = np.linspace(x.min()-5,x.max()+5, 2)\n",
    "colors_l = np.linspace(0.1, 1, len(state_means[::step]))\n",
    "\n",
    "for i, beta in enumerate(state_means[::step]):\n",
    "    plt.plot(xi, beta[0] * xi + beta[1], alpha=.2, lw=1, c=cm(colors_l[i]))\n",
    "\n",
    "# Plot the OLS regression line\n",
    "plt.plot(xi, poly1d(np.polyfit(x, y, 1))(xi), '0.4')\n",
    "# Adjust axes for visibility\n",
    "plt.axis([7.5, 10, 2700, 3600])\n",
    "# Label axes\n",
    "plt.xlabel('Stock')\n",
    "plt.ylabel('HS300')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import talib as ta\n",
    "HS300_close = HS300.close\n",
    "Stock_close = Stock.close\n",
    "data = pd.concat([HS300_close, Stock_close], keys=['HS300','Stock'], axis=1)\n",
    "data['slope'] = list(state_means[:,0])\n",
    "data['Price_diff'] = data['HS300']-data['slope']*data['Stock']\n",
    "data['mean'] = ta.MA(data.Price_diff.values, 50)\n",
    "data['std'] = ta.STDDEV(data.Price_diff.values, 50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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CQMcXZX0j4fyntBTLmz9rs3m8XzyZ5Zk4pQvFTxSK36GEXuE26hxO9B5ZCARj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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21df89b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(data['Price_diff'])\n",
    "plt.plot(data['mean'])\n",
    "plt.plot(data['mean']+2*data['std'])\n",
    "plt.plot(data['mean']-2*data['std'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以做多价差，在橘色线上时候做多大盘，做空股票；反之亦然。\n",
    "\n",
    "可以做价差的波动反转，在上边界穿越后下破上边界，做多股票，做空大盘。"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
